8371964160 has 864 divisors, whose sum is σ = 36365801472. Its totient is φ = 1734082560.

The previous prime is 8371964141. The next prime is 8371964179. The reversal of 8371964160 is 614691738.

It is a happy number.

8371964160 is a `hidden beast` number, since 83 + 71 + 96 + 416 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (8371964141) and next prime (8371964179).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 42497182 + ... + 42497378.

It is an arithmetic number, because the mean of its divisors is an integer number (42090048).

Almost surely, 2^8371964160 is an apocalyptic number.

8371964160 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8371964160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18182900736).

8371964160 is an abundant number, since it is smaller than the sum of its proper divisors (27993837312).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

8371964160 is a wasteful number, since it uses less digits than its factorization.

8371964160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 8371964160 is about 91498.4380194547. The cubic root of 8371964160 is about 2030.5286432509.

The spelling of 8371964160 in words is "eight billion, three hundred seventy-one million, nine hundred sixty-four thousand, one hundred sixty".